14. What is the selling price of an article of marked price Rs. 600 if the following successive discounts are allowed? a. 25%, 10% b. 30%, 20%, 10%
Answers
Answer:
432
Step-by-step explanation:
Given:
The marked price of an article = Rs. 600
Two successive discounts = 20% and 10% respectively
Formula used:
Selling price = Marked price × (100 - x)/100 × (100 - y)/100
Calculations:
Let the marked price be x
After allowing First discount 20% = 600 - 600(20/100)
⇒ 600(1 - 20/100) = 600(100 - 20)/100
⇒ 600 × 80/100 = 480
After allowing Second discount 10% = 480 - 480 × (10/100)
⇒ 480(1 - 10/100) = 480(100 - 10)/100
⇒ 480 × 90/100 = 432
Selling price = 432
∴ The Selling price of the article is 432
If two successive discount is a% and b% then sigle discount will be {a + b - (ab/100)}%
Two successive discount is 20% and 10%
⇒ Overall discount = 20 + 10 - (20 × 10)/100 = 28%
Selling price should be {(100 - 28)/100} × 600 = 432
∴ The Selling price of the article is 432